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Extensions 1→N→G→Q→1 with N=C6 and Q=C2×C4○D4

Direct product G=N×Q with N=C6 and Q=C2×C4○D4
dρLabelID
C2×C6×C4○D496C2xC6xC4oD4192,1533

Semidirect products G=N:Q with N=C6 and Q=C2×C4○D4
extensionφ:Q→Aut NdρLabelID
C6⋊1(C2×C4○D4) = C22×C4○D12φ: C2×C4○D4/C22×C4 → C2 ⊆ Aut C696C6:1(C2xC4oD4)192,1513
C6⋊2(C2×C4○D4) = C22×D4⋊2S3φ: C2×C4○D4/C2×D4 → C2 ⊆ Aut C696C6:2(C2xC4oD4)192,1515
C6⋊3(C2×C4○D4) = C22×Q8⋊3S3φ: C2×C4○D4/C2×Q8 → C2 ⊆ Aut C696C6:3(C2xC4oD4)192,1518
C6⋊4(C2×C4○D4) = C2×S3×C4○D4φ: C2×C4○D4/C4○D4 → C2 ⊆ Aut C648C6:4(C2xC4oD4)192,1520

Non-split extensions G=N.Q with N=C6 and Q=C2×C4○D4
extensionφ:Q→Aut NdρLabelID
C6.1(C2×C4○D4) = C2×C4×Dic6φ: C2×C4○D4/C22×C4 → C2 ⊆ Aut C6192C6.1(C2xC4oD4)192,1026
C6.2(C2×C4○D4) = C2×C12.6Q8φ: C2×C4○D4/C22×C4 → C2 ⊆ Aut C6192C6.2(C2xC4oD4)192,1028
C6.3(C2×C4○D4) = C42.274D6φ: C2×C4○D4/C22×C4 → C2 ⊆ Aut C696C6.3(C2xC4oD4)192,1029
C6.4(C2×C4○D4) = C2×C42⋊2S3φ: C2×C4○D4/C22×C4 → C2 ⊆ Aut C696C6.4(C2xC4oD4)192,1031
C6.5(C2×C4○D4) = C2×C4×D12φ: C2×C4○D4/C22×C4 → C2 ⊆ Aut C696C6.5(C2xC4oD4)192,1032
C6.6(C2×C4○D4) = C4×C4○D12φ: C2×C4○D4/C22×C4 → C2 ⊆ Aut C696C6.6(C2xC4oD4)192,1033
C6.7(C2×C4○D4) = C2×C42⋊7S3φ: C2×C4○D4/C22×C4 → C2 ⊆ Aut C696C6.7(C2xC4oD4)192,1035
C6.8(C2×C4○D4) = C42.276D6φ: C2×C4○D4/C22×C4 → C2 ⊆ Aut C696C6.8(C2xC4oD4)192,1036
C6.9(C2×C4○D4) = C2×C42⋊3S3φ: C2×C4○D4/C22×C4 → C2 ⊆ Aut C696C6.9(C2xC4oD4)192,1037
C6.10(C2×C4○D4) = C42.277D6φ: C2×C4○D4/C22×C4 → C2 ⊆ Aut C696C6.10(C2xC4oD4)192,1038
C6.11(C2×C4○D4) = C2×C23.8D6φ: C2×C4○D4/C22×C4 → C2 ⊆ Aut C696C6.11(C2xC4oD4)192,1041
C6.12(C2×C4○D4) = C2×C23.9D6φ: C2×C4○D4/C22×C4 → C2 ⊆ Aut C696C6.12(C2xC4oD4)192,1047
C6.13(C2×C4○D4) = C2×Dic3⋊D4φ: C2×C4○D4/C22×C4 → C2 ⊆ Aut C696C6.13(C2xC4oD4)192,1048
C6.14(C2×C4○D4) = C24.38D6φ: C2×C4○D4/C22×C4 → C2 ⊆ Aut C648C6.14(C2xC4oD4)192,1049
C6.15(C2×C4○D4) = C2×C23.11D6φ: C2×C4○D4/C22×C4 → C2 ⊆ Aut C696C6.15(C2xC4oD4)192,1050
C6.16(C2×C4○D4) = C24.41D6φ: C2×C4○D4/C22×C4 → C2 ⊆ Aut C648C6.16(C2xC4oD4)192,1053
C6.17(C2×C4○D4) = C24.42D6φ: C2×C4○D4/C22×C4 → C2 ⊆ Aut C648C6.17(C2xC4oD4)192,1054
C6.18(C2×C4○D4) = C2×Dic3.Q8φ: C2×C4○D4/C22×C4 → C2 ⊆ Aut C6192C6.18(C2xC4oD4)192,1057
C6.19(C2×C4○D4) = C2×D6.D4φ: C2×C4○D4/C22×C4 → C2 ⊆ Aut C696C6.19(C2xC4oD4)192,1064
C6.20(C2×C4○D4) = C6.2- 1+4φ: C2×C4○D4/C22×C4 → C2 ⊆ Aut C696C6.20(C2xC4oD4)192,1066
C6.21(C2×C4○D4) = C2×D6⋊Q8φ: C2×C4○D4/C22×C4 → C2 ⊆ Aut C696C6.21(C2xC4oD4)192,1067
C6.22(C2×C4○D4) = C6.102+ 1+4φ: C2×C4○D4/C22×C4 → C2 ⊆ Aut C696C6.22(C2xC4oD4)192,1070
C6.23(C2×C4○D4) = C2×C4⋊C4⋊S3φ: C2×C4○D4/C22×C4 → C2 ⊆ Aut C696C6.23(C2xC4oD4)192,1071
C6.24(C2×C4○D4) = C6.52- 1+4φ: C2×C4○D4/C22×C4 → C2 ⊆ Aut C696C6.24(C2xC4oD4)192,1072
C6.25(C2×C4○D4) = C6.112+ 1+4φ: C2×C4○D4/C22×C4 → C2 ⊆ Aut C696C6.25(C2xC4oD4)192,1073
C6.26(C2×C4○D4) = C6.62- 1+4φ: C2×C4○D4/C22×C4 → C2 ⊆ Aut C696C6.26(C2xC4oD4)192,1074
C6.27(C2×C4○D4) = C42.89D6φ: C2×C4○D4/C22×C4 → C2 ⊆ Aut C696C6.27(C2xC4oD4)192,1077
C6.28(C2×C4○D4) = C42⋊12D6φ: C2×C4○D4/C22×C4 → C2 ⊆ Aut C648C6.28(C2xC4oD4)192,1086
C6.29(C2×C4○D4) = C42.93D6φ: C2×C4○D4/C22×C4 → C2 ⊆ Aut C696C6.29(C2xC4oD4)192,1087
C6.30(C2×C4○D4) = C42.94D6φ: C2×C4○D4/C22×C4 → C2 ⊆ Aut C696C6.30(C2xC4oD4)192,1088
C6.31(C2×C4○D4) = C42.96D6φ: C2×C4○D4/C22×C4 → C2 ⊆ Aut C696C6.31(C2xC4oD4)192,1090
C6.32(C2×C4○D4) = C42.97D6φ: C2×C4○D4/C22×C4 → C2 ⊆ Aut C696C6.32(C2xC4oD4)192,1091
C6.33(C2×C4○D4) = C42.98D6φ: C2×C4○D4/C22×C4 → C2 ⊆ Aut C696C6.33(C2xC4oD4)192,1092
C6.34(C2×C4○D4) = C42.99D6φ: C2×C4○D4/C22×C4 → C2 ⊆ Aut C696C6.34(C2xC4oD4)192,1093
C6.35(C2×C4○D4) = C42.100D6φ: C2×C4○D4/C22×C4 → C2 ⊆ Aut C696C6.35(C2xC4oD4)192,1094
C6.36(C2×C4○D4) = C42.104D6φ: C2×C4○D4/C22×C4 → C2 ⊆ Aut C696C6.36(C2xC4oD4)192,1099
C6.37(C2×C4○D4) = C42.105D6φ: C2×C4○D4/C22×C4 → C2 ⊆ Aut C696C6.37(C2xC4oD4)192,1100
C6.38(C2×C4○D4) = C42.106D6φ: C2×C4○D4/C22×C4 → C2 ⊆ Aut C696C6.38(C2xC4oD4)192,1101
C6.39(C2×C4○D4) = C42⋊14D6φ: C2×C4○D4/C22×C4 → C2 ⊆ Aut C648C6.39(C2xC4oD4)192,1106
C6.40(C2×C4○D4) = C42.228D6φ: C2×C4○D4/C22×C4 → C2 ⊆ Aut C696C6.40(C2xC4oD4)192,1107
C6.41(C2×C4○D4) = D12⋊23D4φ: C2×C4○D4/C22×C4 → C2 ⊆ Aut C648C6.41(C2xC4oD4)192,1109
C6.42(C2×C4○D4) = D12⋊24D4φ: C2×C4○D4/C22×C4 → C2 ⊆ Aut C696C6.42(C2xC4oD4)192,1110
C6.43(C2×C4○D4) = Dic6⋊23D4φ: C2×C4○D4/C22×C4 → C2 ⊆ Aut C696C6.43(C2xC4oD4)192,1111
C6.44(C2×C4○D4) = Dic6⋊24D4φ: C2×C4○D4/C22×C4 → C2 ⊆ Aut C696C6.44(C2xC4oD4)192,1112
C6.45(C2×C4○D4) = C42.114D6φ: C2×C4○D4/C22×C4 → C2 ⊆ Aut C696C6.45(C2xC4oD4)192,1118
C6.46(C2×C4○D4) = C42⋊19D6φ: C2×C4○D4/C22×C4 → C2 ⊆ Aut C648C6.46(C2xC4oD4)192,1119
C6.47(C2×C4○D4) = C42.115D6φ: C2×C4○D4/C22×C4 → C2 ⊆ Aut C696C6.47(C2xC4oD4)192,1120
C6.48(C2×C4○D4) = C42.116D6φ: C2×C4○D4/C22×C4 → C2 ⊆ Aut C696C6.48(C2xC4oD4)192,1121
C6.49(C2×C4○D4) = C42.117D6φ: C2×C4○D4/C22×C4 → C2 ⊆ Aut C696C6.49(C2xC4oD4)192,1122
C6.50(C2×C4○D4) = C42.118D6φ: C2×C4○D4/C22×C4 → C2 ⊆ Aut C696C6.50(C2xC4oD4)192,1123
C6.51(C2×C4○D4) = C42.119D6φ: C2×C4○D4/C22×C4 → C2 ⊆ Aut C696C6.51(C2xC4oD4)192,1124
C6.52(C2×C4○D4) = Dic6⋊10Q8φ: C2×C4○D4/C22×C4 → C2 ⊆ Aut C6192C6.52(C2xC4oD4)192,1126
C6.53(C2×C4○D4) = C42.122D6φ: C2×C4○D4/C22×C4 → C2 ⊆ Aut C696C6.53(C2xC4oD4)192,1127
C6.54(C2×C4○D4) = C42.232D6φ: C2×C4○D4/C22×C4 → C2 ⊆ Aut C696C6.54(C2xC4oD4)192,1137
C6.55(C2×C4○D4) = D12⋊10Q8φ: C2×C4○D4/C22×C4 → C2 ⊆ Aut C696C6.55(C2xC4oD4)192,1138
C6.56(C2×C4○D4) = C42.133D6φ: C2×C4○D4/C22×C4 → C2 ⊆ Aut C696C6.56(C2xC4oD4)192,1141
C6.57(C2×C4○D4) = C42.134D6φ: C2×C4○D4/C22×C4 → C2 ⊆ Aut C696C6.57(C2xC4oD4)192,1142
C6.58(C2×C4○D4) = C42.136D6φ: C2×C4○D4/C22×C4 → C2 ⊆ Aut C696C6.58(C2xC4oD4)192,1144
C6.59(C2×C4○D4) = C2×C12.48D4φ: C2×C4○D4/C22×C4 → C2 ⊆ Aut C696C6.59(C2xC4oD4)192,1343
C6.60(C2×C4○D4) = C2×C23.26D6φ: C2×C4○D4/C22×C4 → C2 ⊆ Aut C696C6.60(C2xC4oD4)192,1345
C6.61(C2×C4○D4) = C2×C4×C3⋊D4φ: C2×C4○D4/C22×C4 → C2 ⊆ Aut C696C6.61(C2xC4oD4)192,1347
C6.62(C2×C4○D4) = C2×C23.28D6φ: C2×C4○D4/C22×C4 → C2 ⊆ Aut C696C6.62(C2xC4oD4)192,1348
C6.63(C2×C4○D4) = C2×C12⋊7D4φ: C2×C4○D4/C22×C4 → C2 ⊆ Aut C696C6.63(C2xC4oD4)192,1349
C6.64(C2×C4○D4) = C24.83D6φ: C2×C4○D4/C22×C4 → C2 ⊆ Aut C648C6.64(C2xC4oD4)192,1350
C6.65(C2×C4○D4) = C2×C23.16D6φ: C2×C4○D4/C2×D4 → C2 ⊆ Aut C696C6.65(C2xC4oD4)192,1039
C6.66(C2×C4○D4) = C2×Dic3.D4φ: C2×C4○D4/C2×D4 → C2 ⊆ Aut C696C6.66(C2xC4oD4)192,1040
C6.67(C2×C4○D4) = C2×Dic3⋊4D4φ: C2×C4○D4/C2×D4 → C2 ⊆ Aut C696C6.67(C2xC4oD4)192,1044
C6.68(C2×C4○D4) = C2×C23.21D6φ: C2×C4○D4/C2×D4 → C2 ⊆ Aut C696C6.68(C2xC4oD4)192,1051
C6.69(C2×C4○D4) = C2×Dic6⋊C4φ: C2×C4○D4/C2×D4 → C2 ⊆ Aut C6192C6.69(C2xC4oD4)192,1055
C6.70(C2×C4○D4) = C2×C4.Dic6φ: C2×C4○D4/C2×D4 → C2 ⊆ Aut C6192C6.70(C2xC4oD4)192,1058
C6.71(C2×C4○D4) = C2×C4⋊C4⋊7S3φ: C2×C4○D4/C2×D4 → C2 ⊆ Aut C696C6.71(C2xC4oD4)192,1061
C6.72(C2×C4○D4) = C2×C4.D12φ: C2×C4○D4/C2×D4 → C2 ⊆ Aut C696C6.72(C2xC4oD4)192,1068
C6.73(C2×C4○D4) = D4⋊6Dic6φ: C2×C4○D4/C2×D4 → C2 ⊆ Aut C696C6.73(C2xC4oD4)192,1102
C6.74(C2×C4○D4) = D4⋊6D12φ: C2×C4○D4/C2×D4 → C2 ⊆ Aut C696C6.74(C2xC4oD4)192,1114
C6.75(C2×C4○D4) = C24.67D6φ: C2×C4○D4/C2×D4 → C2 ⊆ Aut C648C6.75(C2xC4oD4)192,1145
C6.76(C2×C4○D4) = C24.43D6φ: C2×C4○D4/C2×D4 → C2 ⊆ Aut C648C6.76(C2xC4oD4)192,1146
C6.77(C2×C4○D4) = C24.44D6φ: C2×C4○D4/C2×D4 → C2 ⊆ Aut C648C6.77(C2xC4oD4)192,1150
C6.78(C2×C4○D4) = C24.46D6φ: C2×C4○D4/C2×D4 → C2 ⊆ Aut C648C6.78(C2xC4oD4)192,1152
C6.79(C2×C4○D4) = C12⋊(C4○D4)φ: C2×C4○D4/C2×D4 → C2 ⊆ Aut C696C6.79(C2xC4oD4)192,1155
C6.80(C2×C4○D4) = Dic6⋊19D4φ: C2×C4○D4/C2×D4 → C2 ⊆ Aut C696C6.80(C2xC4oD4)192,1157
C6.81(C2×C4○D4) = C6.342+ 1+4φ: C2×C4○D4/C2×D4 → C2 ⊆ Aut C696C6.81(C2xC4oD4)192,1160
C6.82(C2×C4○D4) = C6.702- 1+4φ: C2×C4○D4/C2×D4 → C2 ⊆ Aut C696C6.82(C2xC4oD4)192,1161
C6.83(C2×C4○D4) = C6.712- 1+4φ: C2×C4○D4/C2×D4 → C2 ⊆ Aut C696C6.83(C2xC4oD4)192,1162
C6.84(C2×C4○D4) = C6.732- 1+4φ: C2×C4○D4/C2×D4 → C2 ⊆ Aut C696C6.84(C2xC4oD4)192,1170
C6.85(C2×C4○D4) = C6.462+ 1+4φ: C2×C4○D4/C2×D4 → C2 ⊆ Aut C648C6.85(C2xC4oD4)192,1176
C6.86(C2×C4○D4) = C6.1152+ 1+4φ: C2×C4○D4/C2×D4 → C2 ⊆ Aut C696C6.86(C2xC4oD4)192,1177
C6.87(C2×C4○D4) = C6.472+ 1+4φ: C2×C4○D4/C2×D4 → C2 ⊆ Aut C696C6.87(C2xC4oD4)192,1178
C6.88(C2×C4○D4) = (Q8×Dic3)⋊C2φ: C2×C4○D4/C2×D4 → C2 ⊆ Aut C696C6.88(C2xC4oD4)192,1181
C6.89(C2×C4○D4) = C6.152- 1+4φ: C2×C4○D4/C2×D4 → C2 ⊆ Aut C696C6.89(C2xC4oD4)192,1184
C6.90(C2×C4○D4) = C6.1182+ 1+4φ: C2×C4○D4/C2×D4 → C2 ⊆ Aut C696C6.90(C2xC4oD4)192,1194
C6.91(C2×C4○D4) = C6.242- 1+4φ: C2×C4○D4/C2×D4 → C2 ⊆ Aut C696C6.91(C2xC4oD4)192,1202
C6.92(C2×C4○D4) = C6.852- 1+4φ: C2×C4○D4/C2×D4 → C2 ⊆ Aut C696C6.92(C2xC4oD4)192,1224
C6.93(C2×C4○D4) = C42.139D6φ: C2×C4○D4/C2×D4 → C2 ⊆ Aut C696C6.93(C2xC4oD4)192,1230
C6.94(C2×C4○D4) = C42.144D6φ: C2×C4○D4/C2×D4 → C2 ⊆ Aut C696C6.94(C2xC4oD4)192,1241
C6.95(C2×C4○D4) = C42.166D6φ: C2×C4○D4/C2×D4 → C2 ⊆ Aut C696C6.95(C2xC4oD4)192,1272
C6.96(C2×C4○D4) = C42.238D6φ: C2×C4○D4/C2×D4 → C2 ⊆ Aut C696C6.96(C2xC4oD4)192,1275
C6.97(C2×C4○D4) = Dic6⋊11D4φ: C2×C4○D4/C2×D4 → C2 ⊆ Aut C696C6.97(C2xC4oD4)192,1277
C6.98(C2×C4○D4) = C42.168D6φ: C2×C4○D4/C2×D4 → C2 ⊆ Aut C696C6.98(C2xC4oD4)192,1278
C6.99(C2×C4○D4) = Dic6⋊8Q8φ: C2×C4○D4/C2×D4 → C2 ⊆ Aut C6192C6.99(C2xC4oD4)192,1280
C6.100(C2×C4○D4) = C42.241D6φ: C2×C4○D4/C2×D4 → C2 ⊆ Aut C696C6.100(C2xC4oD4)192,1287
C6.101(C2×C4○D4) = C42.176D6φ: C2×C4○D4/C2×D4 → C2 ⊆ Aut C696C6.101(C2xC4oD4)192,1290
C6.102(C2×C4○D4) = C2×D4×Dic3φ: C2×C4○D4/C2×D4 → C2 ⊆ Aut C696C6.102(C2xC4oD4)192,1354
C6.103(C2×C4○D4) = C2×C23.23D6φ: C2×C4○D4/C2×D4 → C2 ⊆ Aut C696C6.103(C2xC4oD4)192,1355
C6.104(C2×C4○D4) = C2×C23.12D6φ: C2×C4○D4/C2×D4 → C2 ⊆ Aut C696C6.104(C2xC4oD4)192,1356
C6.105(C2×C4○D4) = C2×D6⋊3D4φ: C2×C4○D4/C2×D4 → C2 ⊆ Aut C696C6.105(C2xC4oD4)192,1359
C6.106(C2×C4○D4) = C2×C23.14D6φ: C2×C4○D4/C2×D4 → C2 ⊆ Aut C696C6.106(C2xC4oD4)192,1361
C6.107(C2×C4○D4) = C24.53D6φ: C2×C4○D4/C2×D4 → C2 ⊆ Aut C648C6.107(C2xC4oD4)192,1365
C6.108(C2×C4○D4) = C2×Dic3⋊5D4φ: C2×C4○D4/C2×Q8 → C2 ⊆ Aut C696C6.108(C2xC4oD4)192,1062
C6.109(C2×C4○D4) = C2×C12⋊D4φ: C2×C4○D4/C2×Q8 → C2 ⊆ Aut C696C6.109(C2xC4oD4)192,1065
C6.110(C2×C4○D4) = Q8⋊7Dic6φ: C2×C4○D4/C2×Q8 → C2 ⊆ Aut C6192C6.110(C2xC4oD4)192,1129
C6.111(C2×C4○D4) = C4×Q8⋊3S3φ: C2×C4○D4/C2×Q8 → C2 ⊆ Aut C696C6.111(C2xC4oD4)192,1132
C6.112(C2×C4○D4) = Q8⋊7D12φ: C2×C4○D4/C2×Q8 → C2 ⊆ Aut C696C6.112(C2xC4oD4)192,1136
C6.113(C2×C4○D4) = C42.135D6φ: C2×C4○D4/C2×Q8 → C2 ⊆ Aut C696C6.113(C2xC4oD4)192,1143
C6.114(C2×C4○D4) = D12⋊21D4φ: C2×C4○D4/C2×Q8 → C2 ⊆ Aut C648C6.114(C2xC4oD4)192,1189
C6.115(C2×C4○D4) = C6.772- 1+4φ: C2×C4○D4/C2×Q8 → C2 ⊆ Aut C696C6.115(C2xC4oD4)192,1201
C6.116(C2×C4○D4) = C6.562+ 1+4φ: C2×C4○D4/C2×Q8 → C2 ⊆ Aut C648C6.116(C2xC4oD4)192,1203
C6.117(C2×C4○D4) = C6.782- 1+4φ: C2×C4○D4/C2×Q8 → C2 ⊆ Aut C696C6.117(C2xC4oD4)192,1204
C6.118(C2×C4○D4) = C42.155D6φ: C2×C4○D4/C2×Q8 → C2 ⊆ Aut C696C6.118(C2xC4oD4)192,1256
C6.119(C2×C4○D4) = C42.156D6φ: C2×C4○D4/C2×Q8 → C2 ⊆ Aut C696C6.119(C2xC4oD4)192,1257
C6.120(C2×C4○D4) = C42.240D6φ: C2×C4○D4/C2×Q8 → C2 ⊆ Aut C696C6.120(C2xC4oD4)192,1284
C6.121(C2×C4○D4) = D12⋊12D4φ: C2×C4○D4/C2×Q8 → C2 ⊆ Aut C696C6.121(C2xC4oD4)192,1285
C6.122(C2×C4○D4) = D12⋊9Q8φ: C2×C4○D4/C2×Q8 → C2 ⊆ Aut C696C6.122(C2xC4oD4)192,1289
C6.123(C2×C4○D4) = C42.177D6φ: C2×C4○D4/C2×Q8 → C2 ⊆ Aut C696C6.123(C2xC4oD4)192,1291
C6.124(C2×C4○D4) = C42.178D6φ: C2×C4○D4/C2×Q8 → C2 ⊆ Aut C696C6.124(C2xC4oD4)192,1292
C6.125(C2×C4○D4) = C42.179D6φ: C2×C4○D4/C2×Q8 → C2 ⊆ Aut C696C6.125(C2xC4oD4)192,1293
C6.126(C2×C4○D4) = C2×Q8×Dic3φ: C2×C4○D4/C2×Q8 → C2 ⊆ Aut C6192C6.126(C2xC4oD4)192,1370
C6.127(C2×C4○D4) = C2×D6⋊3Q8φ: C2×C4○D4/C2×Q8 → C2 ⊆ Aut C696C6.127(C2xC4oD4)192,1372
C6.128(C2×C4○D4) = C2×C12.23D4φ: C2×C4○D4/C2×Q8 → C2 ⊆ Aut C696C6.128(C2xC4oD4)192,1373
C6.129(C2×C4○D4) = C6.452- 1+4φ: C2×C4○D4/C2×Q8 → C2 ⊆ Aut C696C6.129(C2xC4oD4)192,1376
C6.130(C2×C4○D4) = C42.88D6φ: C2×C4○D4/C4○D4 → C2 ⊆ Aut C696C6.130(C2xC4oD4)192,1076
C6.131(C2×C4○D4) = S3×C42⋊C2φ: C2×C4○D4/C4○D4 → C2 ⊆ Aut C648C6.131(C2xC4oD4)192,1079
C6.132(C2×C4○D4) = C42.188D6φ: C2×C4○D4/C4○D4 → C2 ⊆ Aut C696C6.132(C2xC4oD4)192,1081
C6.133(C2×C4○D4) = C42⋊10D6φ: C2×C4○D4/C4○D4 → C2 ⊆ Aut C648C6.133(C2xC4oD4)192,1083
C6.134(C2×C4○D4) = C42.95D6φ: C2×C4○D4/C4○D4 → C2 ⊆ Aut C696C6.134(C2xC4oD4)192,1089
C6.135(C2×C4○D4) = C4×D4⋊2S3φ: C2×C4○D4/C4○D4 → C2 ⊆ Aut C696C6.135(C2xC4oD4)192,1095
C6.136(C2×C4○D4) = C42.102D6φ: C2×C4○D4/C4○D4 → C2 ⊆ Aut C696C6.136(C2xC4oD4)192,1097
C6.137(C2×C4○D4) = D4⋊5Dic6φ: C2×C4○D4/C4○D4 → C2 ⊆ Aut C696C6.137(C2xC4oD4)192,1098
C6.138(C2×C4○D4) = C4×S3×D4φ: C2×C4○D4/C4○D4 → C2 ⊆ Aut C648C6.138(C2xC4oD4)192,1103
C6.139(C2×C4○D4) = D4⋊5D12φ: C2×C4○D4/C4○D4 → C2 ⊆ Aut C648C6.139(C2xC4oD4)192,1113
C6.140(C2×C4○D4) = C42⋊18D6φ: C2×C4○D4/C4○D4 → C2 ⊆ Aut C648C6.140(C2xC4oD4)192,1115
C6.141(C2×C4○D4) = C42.229D6φ: C2×C4○D4/C4○D4 → C2 ⊆ Aut C696C6.141(C2xC4oD4)192,1116
C6.142(C2×C4○D4) = C42.113D6φ: C2×C4○D4/C4○D4 → C2 ⊆ Aut C696C6.142(C2xC4oD4)192,1117
C6.143(C2×C4○D4) = Q8⋊6Dic6φ: C2×C4○D4/C4○D4 → C2 ⊆ Aut C6192C6.143(C2xC4oD4)192,1128
C6.144(C2×C4○D4) = C4×S3×Q8φ: C2×C4○D4/C4○D4 → C2 ⊆ Aut C696C6.144(C2xC4oD4)192,1130
C6.145(C2×C4○D4) = Q8⋊6D12φ: C2×C4○D4/C4○D4 → C2 ⊆ Aut C696C6.145(C2xC4oD4)192,1135
C6.146(C2×C4○D4) = C42.131D6φ: C2×C4○D4/C4○D4 → C2 ⊆ Aut C696C6.146(C2xC4oD4)192,1139
C6.147(C2×C4○D4) = C42.132D6φ: C2×C4○D4/C4○D4 → C2 ⊆ Aut C696C6.147(C2xC4oD4)192,1140
C6.148(C2×C4○D4) = Dic6⋊20D4φ: C2×C4○D4/C4○D4 → C2 ⊆ Aut C696C6.148(C2xC4oD4)192,1158
C6.149(C2×C4○D4) = C4⋊C4.178D6φ: C2×C4○D4/C4○D4 → C2 ⊆ Aut C696C6.149(C2xC4oD4)192,1159
C6.150(C2×C4○D4) = S3×C4⋊D4φ: C2×C4○D4/C4○D4 → C2 ⊆ Aut C648C6.150(C2xC4oD4)192,1163
C6.151(C2×C4○D4) = C4⋊C4⋊21D6φ: C2×C4○D4/C4○D4 → C2 ⊆ Aut C648C6.151(C2xC4oD4)192,1165
C6.152(C2×C4○D4) = C6.402+ 1+4φ: C2×C4○D4/C4○D4 → C2 ⊆ Aut C648C6.152(C2xC4oD4)192,1169
C6.153(C2×C4○D4) = D12⋊20D4φ: C2×C4○D4/C4○D4 → C2 ⊆ Aut C648C6.153(C2xC4oD4)192,1171
C6.154(C2×C4○D4) = C6.422+ 1+4φ: C2×C4○D4/C4○D4 → C2 ⊆ Aut C648C6.154(C2xC4oD4)192,1172
C6.155(C2×C4○D4) = C6.432+ 1+4φ: C2×C4○D4/C4○D4 → C2 ⊆ Aut C696C6.155(C2xC4oD4)192,1173
C6.156(C2×C4○D4) = C6.442+ 1+4φ: C2×C4○D4/C4○D4 → C2 ⊆ Aut C696C6.156(C2xC4oD4)192,1174
C6.157(C2×C4○D4) = C6.452+ 1+4φ: C2×C4○D4/C4○D4 → C2 ⊆ Aut C696C6.157(C2xC4oD4)192,1175
C6.158(C2×C4○D4) = C4⋊C4.187D6φ: C2×C4○D4/C4○D4 → C2 ⊆ Aut C696C6.158(C2xC4oD4)192,1183
C6.159(C2×C4○D4) = S3×C22⋊Q8φ: C2×C4○D4/C4○D4 → C2 ⊆ Aut C648C6.159(C2xC4oD4)192,1185
C6.160(C2×C4○D4) = C4⋊C4⋊26D6φ: C2×C4○D4/C4○D4 → C2 ⊆ Aut C648C6.160(C2xC4oD4)192,1186
C6.161(C2×C4○D4) = D12⋊22D4φ: C2×C4○D4/C4○D4 → C2 ⊆ Aut C696C6.161(C2xC4oD4)192,1190
C6.162(C2×C4○D4) = Dic6⋊22D4φ: C2×C4○D4/C4○D4 → C2 ⊆ Aut C696C6.162(C2xC4oD4)192,1192
C6.163(C2×C4○D4) = C6.522+ 1+4φ: C2×C4○D4/C4○D4 → C2 ⊆ Aut C696C6.163(C2xC4oD4)192,1195
C6.164(C2×C4○D4) = C6.532+ 1+4φ: C2×C4○D4/C4○D4 → C2 ⊆ Aut C648C6.164(C2xC4oD4)192,1196
C6.165(C2×C4○D4) = C6.202- 1+4φ: C2×C4○D4/C4○D4 → C2 ⊆ Aut C696C6.165(C2xC4oD4)192,1197
C6.166(C2×C4○D4) = C6.212- 1+4φ: C2×C4○D4/C4○D4 → C2 ⊆ Aut C696C6.166(C2xC4oD4)192,1198
C6.167(C2×C4○D4) = C6.222- 1+4φ: C2×C4○D4/C4○D4 → C2 ⊆ Aut C696C6.167(C2xC4oD4)192,1199
C6.168(C2×C4○D4) = C6.232- 1+4φ: C2×C4○D4/C4○D4 → C2 ⊆ Aut C696C6.168(C2xC4oD4)192,1200
C6.169(C2×C4○D4) = C4⋊C4.197D6φ: C2×C4○D4/C4○D4 → C2 ⊆ Aut C696C6.169(C2xC4oD4)192,1208
C6.170(C2×C4○D4) = C6.802- 1+4φ: C2×C4○D4/C4○D4 → C2 ⊆ Aut C696C6.170(C2xC4oD4)192,1209
C6.171(C2×C4○D4) = S3×C22.D4φ: C2×C4○D4/C4○D4 → C2 ⊆ Aut C648C6.171(C2xC4oD4)192,1211
C6.172(C2×C4○D4) = C6.1212+ 1+4φ: C2×C4○D4/C4○D4 → C2 ⊆ Aut C648C6.172(C2xC4oD4)192,1213
C6.173(C2×C4○D4) = C6.822- 1+4φ: C2×C4○D4/C4○D4 → C2 ⊆ Aut C696C6.173(C2xC4oD4)192,1214
C6.174(C2×C4○D4) = C4⋊C4⋊28D6φ: C2×C4○D4/C4○D4 → C2 ⊆ Aut C648C6.174(C2xC4oD4)192,1215
C6.175(C2×C4○D4) = C6.612+ 1+4φ: C2×C4○D4/C4○D4 → C2 ⊆ Aut C648C6.175(C2xC4oD4)192,1216
C6.176(C2×C4○D4) = C6.1222+ 1+4φ: C2×C4○D4/C4○D4 → C2 ⊆ Aut C648C6.176(C2xC4oD4)192,1217
C6.177(C2×C4○D4) = C6.622+ 1+4φ: C2×C4○D4/C4○D4 → C2 ⊆ Aut C648C6.177(C2xC4oD4)192,1218
C6.178(C2×C4○D4) = C6.632+ 1+4φ: C2×C4○D4/C4○D4 → C2 ⊆ Aut C696C6.178(C2xC4oD4)192,1219
C6.179(C2×C4○D4) = C6.642+ 1+4φ: C2×C4○D4/C4○D4 → C2 ⊆ Aut C696C6.179(C2xC4oD4)192,1220
C6.180(C2×C4○D4) = C6.652+ 1+4φ: C2×C4○D4/C4○D4 → C2 ⊆ Aut C696C6.180(C2xC4oD4)192,1221
C6.181(C2×C4○D4) = C6.662+ 1+4φ: C2×C4○D4/C4○D4 → C2 ⊆ Aut C696C6.181(C2xC4oD4)192,1222
C6.182(C2×C4○D4) = C6.672+ 1+4φ: C2×C4○D4/C4○D4 → C2 ⊆ Aut C696C6.182(C2xC4oD4)192,1223
C6.183(C2×C4○D4) = C42.233D6φ: C2×C4○D4/C4○D4 → C2 ⊆ Aut C696C6.183(C2xC4oD4)192,1227
C6.184(C2×C4○D4) = C42.137D6φ: C2×C4○D4/C4○D4 → C2 ⊆ Aut C696C6.184(C2xC4oD4)192,1228
C6.185(C2×C4○D4) = C42.138D6φ: C2×C4○D4/C4○D4 → C2 ⊆ Aut C696C6.185(C2xC4oD4)192,1229
C6.186(C2×C4○D4) = S3×C4.4D4φ: C2×C4○D4/C4○D4 → C2 ⊆ Aut C648C6.186(C2xC4oD4)192,1232
C6.187(C2×C4○D4) = D12⋊10D4φ: C2×C4○D4/C4○D4 → C2 ⊆ Aut C648C6.187(C2xC4oD4)192,1235
C6.188(C2×C4○D4) = Dic6⋊10D4φ: C2×C4○D4/C4○D4 → C2 ⊆ Aut C696C6.188(C2xC4oD4)192,1236
C6.189(C2×C4○D4) = C42⋊22D6φ: C2×C4○D4/C4○D4 → C2 ⊆ Aut C648C6.189(C2xC4oD4)192,1237
C6.190(C2×C4○D4) = C42⋊23D6φ: C2×C4○D4/C4○D4 → C2 ⊆ Aut C648C6.190(C2xC4oD4)192,1238
C6.191(C2×C4○D4) = C42.234D6φ: C2×C4○D4/C4○D4 → C2 ⊆ Aut C696C6.191(C2xC4oD4)192,1239
C6.192(C2×C4○D4) = C42.143D6φ: C2×C4○D4/C4○D4 → C2 ⊆ Aut C696C6.192(C2xC4oD4)192,1240
C6.193(C2×C4○D4) = Dic6⋊7Q8φ: C2×C4○D4/C4○D4 → C2 ⊆ Aut C6192C6.193(C2xC4oD4)192,1244
C6.194(C2×C4○D4) = S3×C42.C2φ: C2×C4○D4/C4○D4 → C2 ⊆ Aut C696C6.194(C2xC4oD4)192,1246
C6.195(C2×C4○D4) = C42.236D6φ: C2×C4○D4/C4○D4 → C2 ⊆ Aut C696C6.195(C2xC4oD4)192,1247
C6.196(C2×C4○D4) = D12⋊7Q8φ: C2×C4○D4/C4○D4 → C2 ⊆ Aut C696C6.196(C2xC4oD4)192,1249
C6.197(C2×C4○D4) = C42.237D6φ: C2×C4○D4/C4○D4 → C2 ⊆ Aut C696C6.197(C2xC4oD4)192,1250
C6.198(C2×C4○D4) = C42.150D6φ: C2×C4○D4/C4○D4 → C2 ⊆ Aut C696C6.198(C2xC4oD4)192,1251
C6.199(C2×C4○D4) = C42.151D6φ: C2×C4○D4/C4○D4 → C2 ⊆ Aut C696C6.199(C2xC4oD4)192,1252
C6.200(C2×C4○D4) = C42.152D6φ: C2×C4○D4/C4○D4 → C2 ⊆ Aut C696C6.200(C2xC4oD4)192,1253
C6.201(C2×C4○D4) = C42.153D6φ: C2×C4○D4/C4○D4 → C2 ⊆ Aut C696C6.201(C2xC4oD4)192,1254
C6.202(C2×C4○D4) = C42.154D6φ: C2×C4○D4/C4○D4 → C2 ⊆ Aut C696C6.202(C2xC4oD4)192,1255
C6.203(C2×C4○D4) = C42.159D6φ: C2×C4○D4/C4○D4 → C2 ⊆ Aut C696C6.203(C2xC4oD4)192,1260
C6.204(C2×C4○D4) = C42.160D6φ: C2×C4○D4/C4○D4 → C2 ⊆ Aut C696C6.204(C2xC4oD4)192,1261
C6.205(C2×C4○D4) = S3×C42⋊2C2φ: C2×C4○D4/C4○D4 → C2 ⊆ Aut C648C6.205(C2xC4oD4)192,1262
C6.206(C2×C4○D4) = C42⋊25D6φ: C2×C4○D4/C4○D4 → C2 ⊆ Aut C648C6.206(C2xC4oD4)192,1263
C6.207(C2×C4○D4) = C42⋊26D6φ: C2×C4○D4/C4○D4 → C2 ⊆ Aut C648C6.207(C2xC4oD4)192,1264
C6.208(C2×C4○D4) = C42.189D6φ: C2×C4○D4/C4○D4 → C2 ⊆ Aut C696C6.208(C2xC4oD4)192,1265
C6.209(C2×C4○D4) = C42.161D6φ: C2×C4○D4/C4○D4 → C2 ⊆ Aut C696C6.209(C2xC4oD4)192,1266
C6.210(C2×C4○D4) = C42.162D6φ: C2×C4○D4/C4○D4 → C2 ⊆ Aut C696C6.210(C2xC4oD4)192,1267
C6.211(C2×C4○D4) = C42.163D6φ: C2×C4○D4/C4○D4 → C2 ⊆ Aut C696C6.211(C2xC4oD4)192,1268
C6.212(C2×C4○D4) = C42.164D6φ: C2×C4○D4/C4○D4 → C2 ⊆ Aut C696C6.212(C2xC4oD4)192,1269
C6.213(C2×C4○D4) = C6.1042- 1+4φ: C2×C4○D4/C4○D4 → C2 ⊆ Aut C696C6.213(C2xC4oD4)192,1383
C6.214(C2×C4○D4) = Dic3×C4○D4φ: C2×C4○D4/C4○D4 → C2 ⊆ Aut C696C6.214(C2xC4oD4)192,1385
C6.215(C2×C4○D4) = (C2×D4)⋊43D6φ: C2×C4○D4/C4○D4 → C2 ⊆ Aut C648C6.215(C2xC4oD4)192,1387
C6.216(C2×C4○D4) = C6.1452+ 1+4φ: C2×C4○D4/C4○D4 → C2 ⊆ Aut C648C6.216(C2xC4oD4)192,1388
C6.217(C2×C4○D4) = C6.1072- 1+4φ: C2×C4○D4/C4○D4 → C2 ⊆ Aut C696C6.217(C2xC4oD4)192,1390
C6.218(C2×C4○D4) = (C2×C12)⋊17D4φ: C2×C4○D4/C4○D4 → C2 ⊆ Aut C696C6.218(C2xC4oD4)192,1391
C6.219(C2×C4○D4) = C6.1482+ 1+4φ: C2×C4○D4/C4○D4 → C2 ⊆ Aut C696C6.219(C2xC4oD4)192,1393
C6.220(C2×C4○D4) = C6×C42⋊C2central extension (φ=1)96C6.220(C2xC4oD4)192,1403
C6.221(C2×C4○D4) = D4×C2×C12central extension (φ=1)96C6.221(C2xC4oD4)192,1404
C6.222(C2×C4○D4) = Q8×C2×C12central extension (φ=1)192C6.222(C2xC4oD4)192,1405
C6.223(C2×C4○D4) = C12×C4○D4central extension (φ=1)96C6.223(C2xC4oD4)192,1406
C6.224(C2×C4○D4) = C6×C4⋊D4central extension (φ=1)96C6.224(C2xC4oD4)192,1411
C6.225(C2×C4○D4) = C6×C22⋊Q8central extension (φ=1)96C6.225(C2xC4oD4)192,1412
C6.226(C2×C4○D4) = C6×C22.D4central extension (φ=1)96C6.226(C2xC4oD4)192,1413
C6.227(C2×C4○D4) = C3×C22.19C24central extension (φ=1)48C6.227(C2xC4oD4)192,1414
C6.228(C2×C4○D4) = C6×C4.4D4central extension (φ=1)96C6.228(C2xC4oD4)192,1415
C6.229(C2×C4○D4) = C6×C42.C2central extension (φ=1)192C6.229(C2xC4oD4)192,1416
C6.230(C2×C4○D4) = C6×C42⋊2C2central extension (φ=1)96C6.230(C2xC4oD4)192,1417
C6.231(C2×C4○D4) = C3×C23.36C23central extension (φ=1)96C6.231(C2xC4oD4)192,1418
C6.232(C2×C4○D4) = C3×C22.26C24central extension (φ=1)96C6.232(C2xC4oD4)192,1421
C6.233(C2×C4○D4) = C3×C23.37C23central extension (φ=1)96C6.233(C2xC4oD4)192,1422
C6.234(C2×C4○D4) = C3×C22.32C24central extension (φ=1)48C6.234(C2xC4oD4)192,1427
C6.235(C2×C4○D4) = C3×C22.33C24central extension (φ=1)96C6.235(C2xC4oD4)192,1428
C6.236(C2×C4○D4) = C3×C22.34C24central extension (φ=1)96C6.236(C2xC4oD4)192,1429
C6.237(C2×C4○D4) = C3×C22.35C24central extension (φ=1)96C6.237(C2xC4oD4)192,1430
C6.238(C2×C4○D4) = C3×C22.36C24central extension (φ=1)96C6.238(C2xC4oD4)192,1431
C6.239(C2×C4○D4) = C3×D4⋊5D4central extension (φ=1)48C6.239(C2xC4oD4)192,1435
C6.240(C2×C4○D4) = C3×D4⋊6D4central extension (φ=1)96C6.240(C2xC4oD4)192,1436
C6.241(C2×C4○D4) = C3×Q8⋊5D4central extension (φ=1)96C6.241(C2xC4oD4)192,1437
C6.242(C2×C4○D4) = C3×Q8⋊6D4central extension (φ=1)96C6.242(C2xC4oD4)192,1439
C6.243(C2×C4○D4) = C3×C22.45C24central extension (φ=1)48C6.243(C2xC4oD4)192,1440
C6.244(C2×C4○D4) = C3×C22.46C24central extension (φ=1)96C6.244(C2xC4oD4)192,1441
C6.245(C2×C4○D4) = C3×C22.47C24central extension (φ=1)96C6.245(C2xC4oD4)192,1442
C6.246(C2×C4○D4) = C3×D4⋊3Q8central extension (φ=1)96C6.246(C2xC4oD4)192,1443
C6.247(C2×C4○D4) = C3×C22.49C24central extension (φ=1)96C6.247(C2xC4oD4)192,1444
C6.248(C2×C4○D4) = C3×C22.50C24central extension (φ=1)96C6.248(C2xC4oD4)192,1445
C6.249(C2×C4○D4) = C3×Q8⋊3Q8central extension (φ=1)192C6.249(C2xC4oD4)192,1446
C6.250(C2×C4○D4) = C3×C22.53C24central extension (φ=1)96C6.250(C2xC4oD4)192,1448

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